code stringlengths 3 6.57k |
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M.basis() |
Family (d/dx, d/dy) |
S.derivation(x) |
list() |
S.derivation(y) |
list() |
S.derivation(x) |
S.derivation(y) |
f.list() |
self._base_derivation.list() |
RingDerivationWithoutTwist_function(RingDerivationWithoutTwist) |
__init__(self, parent, arg=None) |
R.derivation(x) |
R.derivation([1,2]) |
TestSuite(der) |
run() |
parent.domain() |
parent.codomain() |
domain.ngens() |
parent._base_derivation() |
codomain.zero() |
range(ngens) |
domain.gen() |
isinstance(arg, list) |
len(arg) |
isinstance(arg[0], RingDerivation) |
elif (isinstance(arg, RingDerivationWithoutTwist_function) |
parent.has_coerce_map_from(arg.parent() |
parent._base_derivation(arg._base_derivation) |
codomain(x) |
isinstance(arg, (tuple, list) |
len(arg) |
ValueError("the number of images is incorrect") |
parent._base_derivation(arg[:-ngens]) |
codomain(x) |
range(ngens) |
domain.gen(i) |
parent._base_derivation() |
codomain.one() |
parent._base_derivation(arg) |
RingDerivation.__init__(self, parent) |
__hash__(self) |
R.derivation(x) |
hash(f) |
hash(tuple(self.list() |
_add_(self, other) |
R.derivation(x) |
R.derivation(y) |
range(self.parent() |
domain() |
ngens() |
type(self) |
self.parent() |
_sub_(self, other) |
R.derivation(x) |
R.derivation(y) |
range(self.parent() |
domain() |
ngens() |
type(self) |
self.parent() |
_rmul_(self, factor) |
R.derivation(x) |
self.parent() |
codomain() |
type(self) |
self.parent() |
_lmul_(self, factor) |
R.derivation(x) |
self._rmul_(factor) |
_call_(self, x) |
R.derivation(x) |
R.derivation(y) |
D(x^2 + 3*x*y - y^2) |
self.parent() |
parent.domain() |
parent.codomain() |
parent.defining_morphism() |
isinstance(domain, FractionField_generic) |
x.numerator() |
x.denominator() |
defining_morphism(num) |
defining_morphism(den) |
num.map_coefficients(self._base_derivation, codomain) |
domain.gens() |
den.map_coefficients(self._base_derivation, codomain) |
domain.gens() |
x.map_coefficients(self._base_derivation, codomain) |
domain.gens() |
range(len(self._images) |
defining_morphism(x.derivative(domain.gen(i) |
is_zero(self) |
R.derivation() |
f.is_zero() |
is_zero() |
self._base_derivation.is_zero() |
all(im == 0 for im in self._images) |
list(self) |
GF(5) |
R.derivation_module() |
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